Solving Real-Life Problems with Literal Equations

A rectangle's area is given by the equation A = l * w. If the area is 48 square units and the width is 4 units, what is the length of the rectangle?

• 10 units

• 12 units

• 6 units

• 8 units

The formula for the perimeter of a rectangle is P = 2l + 2w. If the perimeter is 30 units and the width is 5 units, how do you find the length?

• 15 units

• 8 units

• 10 units

• 12 units

The formula for the volume of a cylinder is V = πr²h. If the volume is 100π cubic units and the height is 5 units, how can you express the radius in terms of the volume?

• √20

• 2√5

• 3√5

• 4√5

The equation for the distance traveled is d = rt, where d is distance, r is rate, and t is time. If a car travels 150 miles at a rate of 50 miles per hour, how can you find the time taken?

• 5 hours

• 2 hours

• 3 hours

• 4 hours

The formula for the surface area of a cube is S = 6s². If the surface area is 216 square units, how can you find the length of one side of the cube?

• 4

• 8

• 10

• 6

The equation for the cost of a pizza is C = 10 + 1.5t, where t is the number of toppings. If the total cost is $22, how can you find the number of toppings?

• 10

• 8

• 5

• 3

The formula for the speed of an object is s = d/t. If a runner covers 100 meters in 10 seconds, how can you express the speed in terms of distance and time?

• 5 meters per second

• 10 meters per second

• 15 meters per second

• 100 meters per second

The formula for the total cost of a meal is T = m + t, where m is the meal cost and t is the tip. If the total cost is $50 and the meal cost is $40, how can you find the tip?

• $20

• $15

• $10

• $5

The equation for the interest earned on a savings account is I = Prt, where P is the principal, r is the rate, and t is the time in years. If the interest earned is $200, the principal is $1000, and the time is 2 years, how can you find the rate?

• 15%

• 5%

• 10%

• 20%

The formula for the weight of an object is W = mg, where m is mass and g is the acceleration due to gravity. If the weight is 60 N and g is 9.8 m/s², how can you find the mass of the object?

• 7.25 kg

• 5.00 kg

• 8.10 kg

• 6.12 kg